GCD of 211, 856, 90, 448 Calculator

Given Input numbers are 211, 856, 90, 448

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 211, 856, 90, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 856, 90, 448 is 1.

Therefore, GCD of numbers 211, 856, 90, 448 is 1

Given Input Data is 211, 856, 90, 448

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 211 is 211

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(211, 856) = 180616

GCD(211, 856) = ( 211 x 856 ) / 180616

GCD(211, 856) = 180616 / 180616

GCD(211, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 211, 856, 90, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 768, 55, 973
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• GCD of 831, 489, 86, 328
• GCD of 367, 762, 46, 212

1. What is the GCD of 211, 856, 90, 448?

GCD of 211, 856, 90, 448 is 1

2. Where do I get the detailed procedure to find GCD of 211, 856, 90, 448?

You can find a detailed procedure to find GCD of 211, 856, 90, 448 on our page.

3. How to find GCD of 211, 856, 90, 448 on a calculator?

You can find the GCD of 211, 856, 90, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.